Abstract
In this paper, the shear modulus based equivalent homogenization methods of multi-layer BCC (body-centered cubic) lattice sandwich structures have been studied using analytical, experimental, and finite element methods. In the analytical approach, the multiple strut-deformation patterns were introduced in the derivations of the shear modulus based on Euler–Bernoulli beam theory and Timoshenko beam theory according to different boundary conditions. The analytical shear modulus of three types of rectangle shaped sandwich BCC lattice structures was derived. Finite element models of the BCC lattice structures by ANSYS were conducted to estimate the analytical solutions. Butterfly style sandwich BCC lattice structures were printed by SLM technology using 304 stainless steel (06Cr19Ni10), and corresponding shear experiments using modified Arcan Rig experimental devices were conducted to validate the analytical and numerical calculations. Good agreements were observed among the analytical, numerical, and experimental results.
Highlights
Academic Editor: Andrea PiccolroazLattice structures are periodic porous structures with many advantages, such as light weight, high strength, energy absorption, heat insulation, and heat dissipation [1]
The results show that the relative error between the equivalent shear modulus calculated by FEM and analytical method is small
Different slenderness ratio lattices are manufactured by 304 stainless steel as the constitutive material
Summary
Lattice structures are periodic porous structures with many advantages, such as light weight, high strength, energy absorption, heat insulation, and heat dissipation [1]. Li [19] conducted a series of compression tests of BCCZ manufactured by SLM technology using ALSi12Mg. Lee [20] studied the mechanical properties of BCC and FCC lattice structures under compression loadings and considered that Young’s modulus of BCC was higher than that of FCC under boundary restrained conditions. The lattice cores were fabricated by SLM technology using ALSi12Mg. shear performance of BCC lattice sandwich structures under boundary constrained conditions have not been fully investigated in these experiments. Yang et al [28] considered that there were two typical deformation modes of the multilayer BCC lattice sandwich in the process of compression loadings according to different boundary conditions, and derived the equivalent Young’s modulus of multi-layer sandwich. The shear tests are carried out using modified Arcan Rig experimental devices to validate the analytical model and the finite element model
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